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Finding the Fourth Proportional to 3,888.40, 5,832.74 and 1,255.90

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Solution

The fourth proportional to 3,888.40, 5,832.74 and 1,255.90 is: 1,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.40 : 5,832.74 = 1,255.90 : x
  2. Step 2: Convert to fraction form
    3,888.40/5,832.74 = 1,255.90/x
  3. Step 3: Cross multiply
    3,888.40x = 5,832.74 × 1,255.90
  4. Step 4: Simplify right side
    3,888.40x = 7,325,338.17
  5. Step 5: Solve for x
    x = 7,325,338.17/3,888.40
  6. Step 6: Final answer
    x = 1,883.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.